Galois Theory of Difference Equations [1 ed.] 9783540632436, 3540632433
This book lays the algebraic foundations of a Galois theory of linear difference equations and shows its relationship to
341 10 1MB
English Pages 188 [181] Year 1997
Table of contents :
Picard-Vessiot rings....Pages 4-27
Algorithms for difference equations....Pages 28-34
The inverse problem for difference equations....Pages 35-44
The ring S of sequences....Pages 45-51
An excursion in positive characteristic....Pages 52-59
Difference modules over $$\mathcal{P}$$ ....Pages 60-67
Classification and canonical forms....Pages 71-76
Semi-regular difference equations....Pages 77-94
Mild difference equations....Pages 95-110
Examples of equations and galois groups....Pages 111-126
Wild difference equations....Pages 127-148
q -difference equations....Pages 149-174
Picard-Vessiot rings....Pages 4-27
Algorithms for difference equations....Pages 28-34
The inverse problem for difference equations....Pages 35-44
The ring S of sequences....Pages 45-51
An excursion in positive characteristic....Pages 52-59
Difference modules over $$\mathcal{P}$$ ....Pages 60-67
Classification and canonical forms....Pages 71-76
Semi-regular difference equations....Pages 77-94
Mild difference equations....Pages 95-110
Examples of equations and galois groups....Pages 111-126
Wild difference equations....Pages 127-148
q -difference equations....Pages 149-174
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